In what domain is the function decreasing?
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In what domain is the function decreasing?
Let's remember that the function increases when X values and Y values increase simultaneously.
On the other hand, the function decreases when X values increase and Y values decrease simultaneously.
In the given graph, we notice that the function decreases in two different places on the graph.
The first time it decreases in the domain where and the second time it decreases in the domain where
This means that in these domains, the Y values are decreasing.
Is the function in the graph decreasing?
A function is decreasing when the graph goes downward as you move from left to right. Imagine walking along the graph - if you're going downhill, the function is decreasing!
These are two separate intervals where the function decreases. The first is between -1 and 0, and the second starts at 1 and continues right. Both must be included in your answer.
Because the function increases between x = 0 and x = 1! You can't combine intervals where the function behaves differently. Each decreasing section must be written separately.
Look carefully at the graph! At turning points, the function usually stops decreasing or increasing. These transition points are typically not included in the decreasing intervals.
The same rule applies! Whether straight or curved, if the graph goes downward from left to right in that section, the function is decreasing in that interval.
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